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Finding the Fourth Proportional to 316,478.10, 474,546.87 and 126,843.30

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Solution

The fourth proportional to 316,478.10, 474,546.87 and 126,843.30 is: 190,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,478.10 : 474,546.87 = 126,843.30 : x
  2. Step 2: Convert to fraction form
    316,478.10/474,546.87 = 126,843.30/x
  3. Step 3: Cross multiply
    316,478.10x = 474,546.87 × 126,843.30
  4. Step 4: Simplify right side
    316,478.10x = 60,193,090,995.47
  5. Step 5: Solve for x
    x = 60,193,090,995.47/316,478.10
  6. Step 6: Final answer
    x = 190,196.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.